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Question 1:
What is the minimum number of students each of whom comes from one of the 50 different states, enrolled in a university to guarantee that there are at least 100 who come from the same state?
Question 2:
Show that there are 45 bit strings that contain exactly eight 0s and ten 1s if every 0 must be immediately followed by a 1.
Reasons why we start division : The reason we start division by considering the digit in the leftmost place is efficiency and ease . For instance, suppose we divide 417 by 3, we
Question: Find all third order partial derivatives for the function F(x,y)= log xy+ e (x+y) -x/y.
solve by factorization method; 10x-6y-3z=100, -6x+10y-5z=100, -3x-5y+10z=100
show that a*0=a
solve for x: logx9
solve the recurrence relation an=2an-1+n, a0=1
Sketch several trajectories for the system, x 1 ' = x 1 + 2x 2 x 2 ' = 3x 1 + 2x 2
If a school has lockers with 50 numbers on each combination lock, how many possible combinations using three numbers are there.
algorithm of cosx
similarities between rectangle & parallelogram
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